Finding the Third Proportional to 40,364 and 55,409

Step by Step Solution

1. Step 1: Write the proportion equation
   40,364 : 55,409 = 55,409 : x
2. Step 2: Convert to fraction form
   40,364/55,409 = 55,409/x
3. Step 3: Cross multiply
   40,364x = 55,409 × 55,409
4. Step 4: Simplify right side
   40,364x = 3,070,157,281
5. Step 5: Solve for x
   x = 3,070,157,281/40,364
6. Step 6: Final answer
   x = 76,061.77